2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156378We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in [5]. We also briefly discuss sufficient conditions for the existence of such a Lyapunov function.Optimization and ControlOn the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithmstext